RESIDUE CURRENTS OF THE BOCHNER-MARTINELLI TYPE

By Mikael Passare, A. Tsikh, A. Yger. 2000

91 citations recorded by the source corpus.

Our objective is to construct residue currents from Bochner-Martinelli type kernels; the computations hold in the non complete intersection case and provide a new and more direct approach of the residue of Coleff-Herrera in the complete intersection case; computations involve crucial relations with toroidal varieties and multivariate integrals of the Mellin-Barnes type.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8a1c334c043fee7c0fe6390a35d8cab7a3d73109

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In Algebra and Number Theory

1. M. Andersson
2. M. Meo

In Computational Theory and Mathematics

1. Elizabeth Wulcan
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In Geometry and Topology

1. Elizabeth Wulcan
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Citations in the corpus

• Decomposition of residue currents (2007, background): “This class of currents, which we call hypermeromorphic, includes all residue currents in this paper and the de nition is modeled on the currents that appear in various works as [1], [4] and [17]; the typical example being the Cole -Herrera product.”
• Residue currents with prescribed annihilator ideals (2005, background): “We can make a current extension of u across Z following [33] and the proof of Theorem 1.”